Unified Thread Standard

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The Unified Thread Standard (UTS) defines a standard thread form and series—along with allowances, tolerances, and designations—for screw threads commonly used in the United States and Canada. It is the main standard for bolts, nuts, and a wide variety of other threaded fasteners used in these countries. It has the same 60° profile as the ISO metric screw thread, but the characteristic dimensions of each UTS thread (outer diameter and pitch) were chosen as an inch fraction rather than a millimeter value. The UTS is currently controlled by ASME/ANSI in the United States.

OriginsEdit

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Basic profileEdit

File:ISO and UTS Thread Dimensions.svg
The basic profile of all UTS threads is the same as that of all ISO metric screw threads. Only the commonly used values for Template:Math and Template:Mvar differ between the two standards.

Each thread in the series is characterized by its major diameter Template:Math and its pitch, Template:Mvar. UTS threads consist of a symmetric V-shaped thread. In any plane containing the thread axis, the flanks of the V have an angle of 60° to each other. The outermost Template:Frac and the innermost Template:Frac of the height Template:Mvar of the V-shape are cut off from the profile.

The major diameter Template:Math is the diameter of the screw measured from the outer edge of the threads. The minor diameter Template:Math (also known as the root diameter) is the diameter of the screw measured from the inner edge of the threads. The major diameter may be slightly different from the shank diameter, which is the diameter of the unthreaded part of the screw. The diameters are sometimes given approximately in fractions of an inch (e.g. the major diameter of a #6 screw is 0.1380 in, approximately Template:Nowrap 0.140625 in.

The pitch Template:Mvar is the distance between thread peaks. For UTS threads, which are single-start threads, it is equal to the lead, the axial distance that the screw advances during a 360° rotation. UTS threads do not usually use the pitch parameter; instead a parameter known as threads per inch (TPI) is used, which is the reciprocal of the pitch.

The relationship between the height Template:Mvar and the pitch Template:Mvar is found using the following equation where Template:Mvar is half the included angle of the thread, in this case 30°:Template:Sfnp

<math display=block>\begin{align}H &= \frac{ {P}}{2\tan \theta} = \frac{ \sqrt 3 }{2} \cdot P \\[.5 em] &\approx 0.866025 \cdot P\,.\end{align}</math>

In an external (male) thread (e.g., on a bolt), the major diameter Template:Math and the minor diameter Template:Math define Template:Em dimensions of the thread. This means that the external thread must end flat at Template:Math, but can be rounded out below the minor diameter Template:Math. Conversely, in an internal (female) thread (e.g., in a nut), the major and minor diameters are Template:Em dimensions, therefore the thread profile must end flat at Template:Math but may be rounded out beyond Template:Math. These provisions are to prevent any interferences.

The minor diameter Template:Math and effective pitch diameter Template:Math are derived from the major diameter and pitch as:

<math display=block>\begin{align}

 D_\mathrm{min} &= D_\mathrm{maj} - 2H\cdot\frac58 = D_\mathrm{maj} - \frac{ 5 {\sqrt 3}}{8}\cdot P \approx D_\mathrm{maj} - 1.082532 \cdot P \\
   D_\mathrm{p} &= D_\mathrm{maj} - 2H\cdot\frac38 = D_\mathrm{maj} - \frac{ 3 {\sqrt 3}}{8}\cdot P \approx D_\mathrm{maj} - 0.649519 \cdot P.

\end{align}</math>

DesignationEdit

The standard designation for a UTS thread is a number indicating the nominal (major) diameter of the thread, followed by the pitch measured in threads per inch. For diameters smaller than Template:Sfrac inch, the diameter is indicated by an integer number defined in the standard; for all other diameters, the inch figure is given.

This number pair is optionally followed by the letters UNC, UNF or UNEF (Unified) if the diameter-pitch combination is from the coarse, fine, or extra fine series, and may also be followed by a tolerance class.

Example: #6-32 UNC 2B (major diameter: 0.1380 inch, pitch: 32 tpi)

Unified Screw Threads — UNC, UNF and UNEFTemplate:Sfnp
Major diameter
Dmaj (inch, mm)
Thread density (d, threads per inch) and thread pitch (p) Preferred cutting tap drill size
Coarse (UNC) Fine (UNF) Extra fine (UNEF)
d (TPI) p (inch, mm) d (TPI) p (inch, mm) d (TPI) p (inch, mm) Coarse Fine Extra fine
#0 Template:Convert colspan=3 Template:N/a 80 Template:Convert colspan=3 Template:N/a Template:Sfrac .047
#1 Template:Convert 64 Template:Convert 72 Template:Convert colspan=3 Template:N/a #53 .060 #53 .060
#2 Template:Convert 56 Template:Convert 64 Template:Convert colspan=3 Template:N/a #50 .070 #50 .070
#3 Template:Convert 48 Template:Convert 56 Template:Convert colspan=3 Template:N/a #47 .079 #45 .082
#4 Template:Convert 40 Template:Convert 48 Template:Convert colspan=3 Template:N/a #43 .089 #42 .094
#5 Template:Convert 40 Template:Convert 44 Template:Convert colspan=3 Template:N/a #38 .102 #37 .104
#6 Template:Convert 32 Template:Convert 40 Template:Convert colspan=3 Template:N/a #36 .107 #33 .113
#8 Template:Convert 32 Template:Convert 36 Template:Convert colspan=3 Template:N/a #29 .136 #29 .136
#10 Template:Convert 24 Template:Convert 32 Template:Convert colspan=3 Template:N/a #25 .150 #21 .159
#12 Template:Convert 24 Template:Convert 28 Template:Convert 32 Template:Convert #16 .177 #14 .182 Template:Sfrac .188
Template:Sfrac Template:Convert 20 Template:Convert 28 Template:Convert 32 Template:Convert #7 .201 #3 .213 Template:Sfrac .219
Template:Sfrac Template:Convert 18 Template:Convert 24 Template:Convert 32 Template:Convert F .257 I .272 Template:Sfrac .281
Template:Sfrac Template:Convert 16 Template:Convert 24 Template:Convert 32 Template:Convert Template:Sfrac .313 Q .332 Template:Sfrac .344
Template:Sfrac Template:Convert 14 Template:Convert 20 Template:Convert 28 Template:Convert U .368 Template:Sfrac .391 Y .404
Template:Sfrac Template:Convert 13 Template:Convert 20 Template:Convert 28 Template:Convert Template:Sfrac .422 Template:Sfrac .453 Template:Sfrac .469
Template:Sfrac Template:Convert 12 Template:Convert 18 Template:Convert 24 Template:Convert Template:Sfrac .484 Template:Sfrac .500 Template:Sfrac .516
Template:Sfrac Template:Convert 11 Template:Convert 18 Template:Convert 24 Template:Convert Template:Sfrac .531 Template:Sfrac .563 Template:Sfrac .578
Template:Sfrac Template:Convert 10 Template:Convert 16 Template:Convert 20 Template:Convert Template:Sfrac .656 Template:Sfrac .688 Template:Sfrac .703
Template:Sfrac Template:Convert 9 Template:Convert 14 Template:Convert 20 Template:Convert Template:Sfrac .766 Template:Sfrac .797 Template:Sfrac .828
1″ Template:Convert 8 Template:Convert 12Template:Efn Template:Convert 20 Template:Convert Template:Sfrac .875 Template:Sfrac .922 Template:Sfrac .953
Template:Sfrac 1.1250 28.5750 7 0.142857 3.6286 12 Template:Convert
Template:Sfrac 1.2500 31.7500 7 0.142857 3.6286 12 Template:Convert
Template:Sfrac 1.3750 34.9250 6 0.166667 4.2333 12 Template:Convert
Template:Sfrac 1.5000 38.1000 6 0.166667 4.2333 12 Template:Convert
Template:Sfrac 1.7500 44.4500 5 0.200000 5.0800
2″ 2.0000 50.8000 Template:Sfrac 0.222222 5.6444
Template:Sfrac 2.2500 57.1500 Template:Sfrac 0.222222 5.6444
Template:Sfrac 2.5000 63.5000 4 0.250000 6.3500
Template:Sfrac 2.7500 69.8500 4 0.250000 6.3500
3″ 3.0000 76.2000 4 0.250000 6.3500
Template:Sfrac 3.2500 82.5500 4 0.250000 6.3500
Template:Sfrac 3.5000 88.9000 4 0.250000 6.3500
Template:Sfrac 3.7500 95.2500 4 0.250000 6.3500
4″ 4.0000 101.6000 4 0.250000 6.3500

Template:Noteslist

The following formula is used to calculate the major diameter of a numbered screw greater than or equal to 0: Major diameter = Screw # × 0.013 in + 0.060 in. For example, the major diameter of a #10 screw is 10 × 0.013 in + 0.060 in = 0.190 in. To calculate the major diameter of "aught" size screws count the number of extra zeroes and multiply this number by 0.013 in and subtract from 0.060 in. For example, the major diameter of a #0000 screw is 0.060 in − (3 × 0.013 in) = 0.060 in − 0.039 in = 0.021 in.

The number series of machine screws has been extended downward to include #00-90 (0.047 in = 0.060 in − 0.013 in) and #000-120 (0.034 in = 0.060 in − 2 × 0.013 in) screws;<ref>#00-90 and #000-120 screws for sale</ref> however, the main standard for screws smaller than #0 is ANSI/ASME standard B1.10 Unified Miniature Screw Threads. This defines a series of metric screws named after their major diameters in millimetres, from 0.30 UNM to 1.40 UNM. Preferred sizes are 0.3, 0.4, 0.5, 0.6, 0.8, 1.0 and 1.2 mm, with additional defined sizes halfway between.Template:Sfnp The standard thread pitch is approximately Template:Sfrac of the major diameter. The thread form is slightly modified to increase the minor diameter, and thus the strength of screws and taps. The major diameter still extends to within Template:SfracH of the theoretical sharp V, but the total depth of the thread is reduced 4% from Template:SfracH = Template:Sfrac cos(30°) P ≈ 0.541P to 0.52P.Template:Sfnp This increases the amount of the theoretical sharp V which is cut off at the minor diameter by 10% from 0.25H to Template:SfracTemplate:Sfrac ≈ 0.27456H.

The number series of machine screws once included more odd numbers and went up to #16 or more. Standardization efforts in the late 19th and the early part of the 20th century reduced the range of sizes considerably. Now, it is less common to see machine screws larger than #14, or odd number sizes other than #1, #3 and #5. Even though #14 and #16 screws are still available, they are not as common as sizes #0 through #12.Template:Citation needed

Sometimes "special" diameter and pitch combinations (UNS) are used, for example a Template:Convert major diameter with 20 threads per inch. UNS threads are rarely used for bolts, but rather on nuts, tapped holes, and threaded ODs. Because of this UNS taps are readily available.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref><ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref> Most UNS threads have more threads per inch than the correlating UNF or UNEF standard; therefore they are often the strongest thread available.Template:Sfnp Because of this they are often used in applications where high stresses are encountered, such as machine tool spindles<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}.</ref> or automotive spindles.<ref>{{#invoke:citation/CS1|citation |CitationClass=web }}.</ref>

GaugingEdit

A screw thread gauging system comprises a list of screw thread characteristics that must be inspected to establish the dimensional acceptability of the screw threads on a threaded product and the gauge(s) which shall be used when inspecting those characteristics.

Currently this gauging for UTS is controlled by:

ASME/ANSI B1.2-1983 Gauges And Gauging For Unified Inch Screw Threads
This Standard provides essential specifications and dimensions for the gauges used on Unified inch screw threads UN [unified] and UNR [external threads only] thread form, and covers the specifications and dimensions for the thread gauges and measuring equipment listed in Tables 1 and 2. The basic purpose and use of each gauge are also described.
ASME/ANSI B1.3-2007 Screw Thread Gauging Systems for Acceptability: Inch and Metric Screw Threads (UN, UNR, UNJ, M, and MJ)
Template:Ordered list

These standards provide essential specifications and dimensions for the gauges used on Unified inch screw threads (UN, UNR, UNJ thread form) on externally and internally threaded products. It also covers the specifications and dimensions for the thread gauges and measuring equipment. The basic purpose and use of each gauge are also described. It also establishes the criteria for screw thread acceptance when a gauging system is used.

Tolerance classesEdit

A classification system exists for ease of manufacture and interchangeability of fabricated threaded items. Most (but certainly not all) threaded items are made to a classification standard called the Unified Screw Thread Standard Series. This system is analogous to the fits used with assembled parts.

  • Class 1 threads are loose fit, intended for ease of assembly or use in a dirty environment.
  • Class 2 threads are free fit, and the most common. They are designed to maximize strength considering typical machine shop capability and machine practice.
  • Class 3 threads are medium fit, still quite common and used for closer tolerances on high quality work.
  • Class 4 threads previously designated a close fit for even tighter tolerances, but this classification is now obsolete.
  • Class 5 fit is an interference thread, requiring the use of a wrench for turning. These can be seen in applications like spring shackles on an automobile.

The letter suffix "A" or "B" denotes whether the threads are external or internal, respectively. Classes 1A, 2A, 3A apply to external threads; Classes 1B, 2B, 3B apply to internal threads.<ref name="AFT Fasteners">{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

Thread class refers to the acceptable range of pitch diameter for any given thread. The pitch diameter is indicated as Dp in the figure shown above. There are several methods that are used to measure the pitch diameter. The most common method used in production is by way of a go/no-go gauge.

Related standardsEdit

  • ASME/ANSI B1.1 – 2019 Unified Inch Screw Threads, UN, UNR, & UNJ Thread Form
  • ASME/ANSI B1.10M – 2004 Unified Miniature Screw Threads

See alsoEdit

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NotesEdit

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BibliographyEdit

External linksEdit